This communication presents an analysis of the propagation of an electromagnetic wave in a medium in which the variation of dielectric constant is of the form ϵ = ϵ(0) - ϵ(2)(Z)r2. Explicit expressions for the intensity at any point have been obtained for ϵ(2)(Z) = constant, and numerical calculations have been presented for the case when ϵ(2)(Z) = ϵ20(1+αZ)−2 and compared with the results obtained earlier, using the geometrical optics approximation. These two forms for the variation of ϵ(2)(Z) with Z correspond to the cylindrical and conical SELFOC fibres and rods.

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